Steadily Rotating Perfect-Fluid Gravitating Prolate Spheroids in Newtonian Theory

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hydrodynamics, Galaxies: Kinematics And Dynamics

Scientific paper

It is proved that the Newtonian equations of hydrodynamics do not admit
a solution describing an incompressible perfect-fluid gravitating
prolate spheroid, which is steadily rotating about its axis of symmetry.
The possible dynamical and astrophysical interest of the result is
briefly discussed.

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